Radicals - Multiplication Intro

This math unit progresses from foundational skills of multiplying monomials under radicals and simplifying products to more complex operations involving the multiplication of binomials that incorporate both numerical values and variables under radical signs. Deeper into the unit, learners begin by handling basic multiplications of monomials featuring only values, moving to include variables, thereby introducing algebraic complexity. Subsequently, the focus shifts to combining monomials with binomials, first using only values, and then incorporating variables, escalating the algebraic intricacy and the level of manipulation required to simplify the results. The final stages of the unit expand the multiplication and simplification processes to binomials that contain both values and variables, requiring a more nuanced application of distributive properties (like FOIL), radical simplification rules, and algebraic manipulations involving powers and roots. This progression equips learners with comprehensive skills in handling radical expressions, essential for advanced algebra and precalculus contexts.Skills you will learn include:

  • Simplifying radicals with integers and variables
  • Common radicals
  • Multiplying radicals
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    Topics are small, focused areas which build towards the greater unit's goals.